10. Which one of the following pairs of numbers contains like fractions?
1 answer:
You might be interested in
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
The simplified form of given expression is
<em><u>Solution:</u></em>
Given that we have to simplify the expression
<em><u>Given expression is:</u></em>
We can simplify the expression by multiplying each term in first bracket with each term term in second bracket
Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term
Combine the like terms
Thus the expression is simplified